Global well-posedness of a 3D MHD model in porous media Academic Article uri icon

abstract

  • In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimer-extended-Darcy" law of flow in porous media.

published proceedings

  • Journal of Geometric Mechanics

author list (cited authors)

  • S. Titi, E., & Trabelsi, S

citation count

  • 8

complete list of authors

  • S. Titi, Edriss||Trabelsi, Saber

publication date

  • January 2019